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Finding the Fourth Proportional to 721.08, 993.72 and 524.22

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Solution

The fourth proportional to 721.08, 993.72 and 524.22 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 993.72 = 524.22 : x
  2. Step 2: Convert to fraction form
    721.08/993.72 = 524.22/x
  3. Step 3: Cross multiply
    721.08x = 993.72 × 524.22
  4. Step 4: Simplify right side
    721.08x = 520,927.90
  5. Step 5: Solve for x
    x = 520,927.90/721.08
  6. Step 6: Final answer
    x = 722.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.